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Finding the Fourth Proportional to 5,643.23, 7,785.19 and 3,403.86

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Solution

The fourth proportional to 5,643.23, 7,785.19 and 3,403.86 is: 4,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.23 : 7,785.19 = 3,403.86 : x
  2. Step 2: Convert to fraction form
    5,643.23/7,785.19 = 3,403.86/x
  3. Step 3: Cross multiply
    5,643.23x = 7,785.19 × 3,403.86
  4. Step 4: Simplify right side
    5,643.23x = 26,499,640.89
  5. Step 5: Solve for x
    x = 26,499,640.89/5,643.23
  6. Step 6: Final answer
    x = 4,695.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.